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Math Help - abstract algebra

  1. #1
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    abstract algebra

    I am having dificulties with subgroups and how to develop generators.
    I have a question

    Find the numbers of generatos os a cyclic groups of orders Z6, Z8, Z12 and Z60
    Last edited by rupecee1; December 5th 2009 at 05:14 PM.
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  2. #2
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    This is the wrong section.. Also, you may want to clarify your question a bit. I understand that you want <x> for some group where o(x) is one of the following \{6,8,12,60\}. But you never gave the group.
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  3. #3
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    Quote Originally Posted by rupecee1 View Post
    i habibg dificulties with subgroups and how to develop generators.
    i have a question

    fiend the numbers of generatos os a cyclic groups of orders 6, 8, 12 and 60
    Cyclic groups of finite order are always isomorphic to the integers mod n
    under addition.

    Here is a link to the wiki on cyclic groups

    Cyclic group - Wikipedia, the free encyclopedia

    Note that cyclic groups always have \varphi(n) generators where \varphi is the Euler Phi function

    Euler's totient function - Wikipedia, the free encyclopedia
    Last edited by TheEmptySet; December 5th 2009 at 05:14 PM. Reason: Spelling error :(
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